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Finding the Fourth Proportional to 80,399.82, 120,514.65 and 27,041.01

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Solution

The fourth proportional to 80,399.82, 120,514.65 and 27,041.01 is: 40,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,399.82 : 120,514.65 = 27,041.01 : x
  2. Step 2: Convert to fraction form
    80,399.82/120,514.65 = 27,041.01/x
  3. Step 3: Cross multiply
    80,399.82x = 120,514.65 × 27,041.01
  4. Step 4: Simplify right side
    80,399.82x = 3,258,837,454.57
  5. Step 5: Solve for x
    x = 3,258,837,454.57/80,399.82
  6. Step 6: Final answer
    x = 40,532.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.